Abstract
The goal here is Theorem 10.1 below, which is the modification of Theorem 9.1 in the presence of an automorphism γ. The only contributions to the asymptotic expansion come from neighborhoods of fixed points in M ofγ, which in the principal G-bundle P correspond to fixed points modulo the action of G. The extra ingredient needed here is the asymptotic estimate in Lemma 10.1 of the geodesic distance between two points in P which are close to the same G-orbit.
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© 2011 Springer Science+Business Media, LLC
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Duistermaat, J.J. (2011). The Automorphism. In: The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8247-7_10
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DOI: https://doi.org/10.1007/978-0-8176-8247-7_10
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8246-0
Online ISBN: 978-0-8176-8247-7
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